Airlines sometimes overbook flights. Suppose that for a plane with 80 seats, 84 passengers have tickets. Define the random variable X as the number of ticketed passengers who actually show up for the flight. The probability mass function X appears in the accompanying table. (a) (5 points) Find P(X=80). (b) (5 points) Find E(X). (c) (5 points) Find V(X). (d) (5 points) Give the cumulative distribution function of X. (e) (5 points) What is the probability that the flight will accommodate all ticketed passengers who show up? (f) (5 points) If you are the first person on the standby list (which means you will be first one to get on the plane if there are any seats available after all ticketed passengers have been accommodated), what is the probability that you will be able to take the flight?